We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Sugeno Integral Based on Overlap Function and Its Application to Fuzzy Quantifiers and Multi-Attribute Decision-Making.
- Authors
Mao, Xiaoyan; Temuer, Chaolu; Zhou, Huijie
- Abstract
The overlap function is an important class of aggregation function that is closely related to the continuous triangular norm. It has important applications in information fusion, image processing, information classification, intelligent decision-making, etc. The usual multi-attribute decision-making (MADM) is to select the decision object that performs well on all attributes (indicators), which is quite demanding. The MADM based on fuzzy quantifiers is to select the decision object that performs well on a certain proportion or quantification (such as most, many, more than half, etc.) of attributes. Therefore, it is necessary to study how to express and calculate fuzzy quantifiers such as most, many, etc. In this paper, the Sugeno integral based on the overlap function (called the O-Sugeno integral) is used as a new information fusion tool, and some related properties are studied. Then, the truth value of a linguistic quantified proposition can be estimated by using the O-Sugeno integral, and the O-Sugeno integral semantics of fuzzy quantifiers is proposed. Finally, the MADM method based on the O-Sugeno integral semantics of fuzzy quantifiers is proposed and the feasibility of our method is verified by several illustrative examples such as the logistics park location problem.
- Subjects
FUZZY sets; OVERLAP integral; AGGREGATION operators; DECISION making; TRIANGULAR norms; FUZZY integrals; IMAGE processing
- Publication
Axioms (2075-1680), 2023, Vol 12, Issue 8, p734
- ISSN
2075-1680
- Publication type
Article
- DOI
10.3390/axioms12080734